REPRESENTATION OF CHOQUET INTEGRAL — INTERPRETER AND MÖBIUS TRANSFORM

DOI10.1142/S0218488506004205zbMath1116.28014OpenAlexW2055302419WikidataQ62609317 ScholiaQ62609317MaRDI QIDQ3422197

Toshiaki Murofushi, Yasuo Narukawa

Publication date: 9 February 2007

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218488506004205

zbMATH Keywords

fuzzy measure

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items

Integral with Respect to a Non Additive Measure: An Overview

Cites Work

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• Allocations of probability
• An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure
• A theory of fuzzy measures: Representations, the Choquet integral, and null sets
• Representation of the Choquet integral with the \(\sigma\)-additive Möbius transform
• Additive representations of non-additive measures and the Choquet integral
• Theory of capacities
• Decomposition and Representation of Coalitional Games
• Fuzzy measures and generalized Möbius transform
• Canonical Representation of Set Functions

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